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Finding the Third Proportional to 71,306,087.25 and 156,282,016.50

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Solution

The third proportional to 71,306,087.25 and 156,282,016.50 is: 342,524,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306,087.25 : 156,282,016.50 = 156,282,016.50 : x
  2. Step 2: Convert to fraction form
    71,306,087.25/156,282,016.50 = 156,282,016.50/x
  3. Step 3: Cross multiply
    71,306,087.25x = 156,282,016.50 × 156,282,016.50
  4. Step 4: Simplify right side
    71,306,087.25x = 24,424,068,681,306,272
  5. Step 5: Solve for x
    x = 24,424,068,681,306,272/71,306,087.25
  6. Step 6: Final answer
    x = 342,524,314.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.